Question

find the roots of the equation 2p²-p=15,using the formula​

Answer 1

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Answer 2

Given:-

• 2p²-p = 15

To Find:-

• Roots of the Equation.

SoluTion:-

→ 2p²-p = 15

→ 2p²-p-15 = 0

☞ 2p²-p-15 = 0 is in the form of Quadratic Equation ax²+bx+c = 0

➝ a = 2, b = -1 & c = -15

By Dharacharya Formula

$\Large{\boxed{\sf{x = \frac{-b±\sqrt{b²-4ac}}{2a}}}}$

$→\;\Large{\sf{\frac{-(-1)±\sqrt{(-1)²-(4×2×-15)}}{2×2}}}$

$→\;\Large{\sf{\frac{1±\sqrt{1-(-120)}}{4}}}$

$→\;\Large{\sf{\frac{1±\sqrt{1+120}}{4}}}$

$→\;\Large{\sf{\frac{1±\sqrt{121}}{4}}}$

$→\;\Large{\sf{\frac{1±\sqrt{(11)²}}{4}}}$

$→\;\Large{\sf{\frac{1±11}{4}}}$

$→\;\Large{\sf{\frac{1+11}{4}}}$ (or) $\Large{\sf{\frac{1-11}{4}}}$

$→\;\Large{\sf{\frac{12}{4}}}$ (or) $\Large{\sf{\frac{10}{4}}}$

Value of p is ☞ 3 (or) 5/2

$\Large{✓}$

Hope It Helps You ✌️